Alan Lomax's published a transcription of this original Leadbelly recording, and his version went as follows:

Bason an'Brock will arres'you
Payson an'Boone will take you down".

Whether he checked that with Leadbelly I couldn't say. The lines come in the "If you ewver go to Houston" verse, and Leadbelly lived there at one time. So he was presumably referring to people with whom he was acquainted in one of his many brushes with the law?